state. 0.94 0.71 0.96 0.72 0.74 0.55 0.84 0.64 0.62 0.47 G 0.58 0.44 (A) Draw a scatter plot of the data and a graph of the model on the same axes. Choose the correct graph below. O A. В. OC. OD. Q 14 0.5 0.- 0.5- 0,5 04 0- 0.7 1.4 State pop. (millions, x) 0.7 State pop. (millions, x) 1.4 0.7 State pop. (millions, x) 0.7 1.4 1.4 State pop. (millions, x) Drivers (millions, y) Drivers (millions, y) Drivers (millions, 1 Drivers (millions, y)
Q: Given the IVP: y" - 4 y' +4 y = 6, y(0) =0, y'(0) = 3 %3D A) Use the Laplace transform to find Y(s).…
A:
Q: 1. Given a table of data a | 0|1|2 y 153 we want to find a linear function y = 0 +c1x that best fits…
A: We can solve this using given information
Q: y'+2xy=2x^3, y(0)=1, y(2) using h=0.2
A: As per the question we are give the following first order differential equation : y'+2xy=2x3 With…
Q: Eliminate the arbitrary constant on the given equation: y = C1x2 + C2e O (2? – 2a) y" + (x² + 2) y –…
A: Given equation is y=C1x2+C2e-x ........(1)
Q: (a)The elevation of a point of interest is 4 kilometers or less. Use h for the elevation in…
A: To find the inequality and to plot it on the number line.
Q: dy dx cos 9x +y
A: First of all we write the given equation is of the form of linear first order differential equation…
Q: Select all the real numbers M among the choices below such that the two planes given by r. -2= -3…
A:
Q: x²+2x²y-2xy+2xy –3y The expression is equal to x+y
A: We have to find simplified form of the given expression
Q: Evaluate the integral (2.x - y)dA, where D is the region in the first quadrant enclosed by the lines…
A:
Q: Find the isolated singularities for the holomorphic functions f, g, h. Determine the types and…
A:
Q: 2 Find the definite integral o tan(x)dx using strips of width for the trapezium rule correct to…
A:
Q: C. Find the moment of inertia about x-axis of a thin plate bounded by parabola (x = y- y) and line…
A:
Q: Express the circle specified by x 2 cos(0) y = 1+ 2 sin(0) in Cartesian coordinates and find the…
A: Note: Equation of a circle with radius r and center at (h, k) is given by (x-h)^2 + (y-k)^2 = r^2
Q: Show that In(x") = y In(x) for all x, y > 0, only using the rules of derivative for the natural…
A:
Q: 1 2 Q1) find eigenvalue eigenvector of A=(0 1 1/ 1 1
A:
Q: Find the angle between two vectors a = (3,4,0) and b = (4,4, 2). O a. cos Cos cos-() O d. cos-() Ос.
A:
Q: 7. Let A be an invertible n xn matrix over R. Consider the system of linear equation Ax = b or…
A:
Q: how was the roots of zeros found for this problem?
A: The zeros/roots of a function are the values of x-coordinates of the points, where the curve: y=f(x)…
Q: Using the matrix notation, write the system of linear equations: 2x1 - X4 5x1 + x2 X3 1 -x + 4x3 +…
A: Given, System of linear equations: 2x1 -x4 =-1 5x1 +x2 =1 x3 =1 -x1 +4x3 +x4 =0 we can write it as…
Q: B. Find the adjacency matrix of the following graphs. 1. 2.
A: 1 Consider the given graph We have to write the adjacency matrix. The adjacency matrix for the given…
Q: Consider the function g defined by 1 g(x, y) = cos (Ta V) + log3 (r – y Do as indicated. 1.…
A:
Q: Write 735 as a sum distinct powers of 2
A: 735 = 512 + 128 + 64 + 16 + 8 + 4 + 2 + 1 Now 512 = 29 128 = 27 64 = 26…
Q: -1 1 0-0 Consider the matrix A = 0. -1 2 and vectors x = 1 and y = 1 1/ 2. Let vector v be defined…
A:
Q: . Consider the function g defined by 1 g(x, y) = cos (Tx y) + log3 (x - y) Do as indicated. 1.…
A: As per policy, we are allowed to answer only 1 questions at a time. So, I am answering the first…
Q: Can you explain part (ii) more? just like a basic step by step explanation of everything that…
A: As per the question we are given two functions α(x) , β(x) And we have to find the derivative of…
Q: A liquid vessel which is initially empty is in the form of an inverted regular hexagonal pyramid…
A:
Q: Let M2(R) be the set of 2 x 2 matrices with real number entries, i.e., M-R) = {[: :] 1a.hcdeR}. a b…
A: We know that a set is a ring if it satisfies the properties: Closure, Associativity, Existence of…
Q: For the following function, find its inverse. f(x)= In(5x – 2) а. f'(x)= (e* - 2)/5 b. f'(x)= (e* +…
A:
Q: Hello, thank you for your answer but where is the rest?
A: given figure
Q: This is incorrect please help
A: The given line integral is∫C6y3dx-6x3dy, C is the circle x2+y2=4Green's theorem for a positively…
Q: Give an example where the statement: If U and V are vector subspaces of Rn, then U ∪ V is also a…
A:
Q: Solve when x(0)=2 and y(0)=3
A:
Q: What is the principle part for fC
A:
Q: A planet P in the xy-plane orbits a star S counterclockwise in a circle with radius 10 units,…
A: Given, A planet P in the xy-plane orbits the star S in a circle of radius 10 units, completing one…
Q: Problem 8. Consider the 3 x 3 symmetric matrix over R 2 -2 A = 2 -2 -2 -2 6 (i) Let X be an mxn…
A:
Q: 5. Recall that i = V-I and let G = {1,a, B} where a = the operation on multiplication. remember that…
A:
Q: If f is just that L = e*[- sin(x+ y) + cos(x + y)] and -e* sin(x + y) which if the following is true…
A:
Q: Calculate the value of (1 + 2i)² and then use this value to find the roots of z – z + (1 – i) = 0.
A:
Q: Use Simpson's rule with in two decimal places.
A:
Q: Which of the following statement is true for the Ratio Test? Select one: none of the others an+1 O…
A:
Q: Standard Error of the mean used to estimate the population mean, and to estimate differences between…
A:
Q: The data shows that the percentage 015
A: Given the data shows that the percentage of female cigarette smokers in a certain country declined…
Q: Find the definite integral o tan(x)dx using strips of width for the trapezium rule correct to three…
A:
Q: Q. Let (X, B(R), µ) be a Borel measure space. If AnB = 0, B nC = ¢, µ(AnC) = 1,then µ(AUBUC) = 1.…
A:
Q: Solve the following system using the Gaussian algorithm: 2x1 – x2 + 3x3 = - = -1 = 0 = 3 -2x1 + x2 –…
A: Given the equations 2x1-x2+3x3=-1 -2x1+x2-x3=0 x1-3x2+6x3=3 First, we will find the solution vector…
Q: Which of the forms would be most helpful in answering questions d-f
A: The various forms of a quadratic equation can be listed as follows. Standard form: f(x)=ax2+bx+c,…
Q: The position x(t) of an object of mass m that is attached to a vertical spring with constant of…
A: The main objective is to solve the IVP by using higher order linear differential equations…
Q: Consider the following two matrices 1 7 A =|0 1 0 -2 0 1 0 1 3 (1 3 0 0 B =0 0 1 0 0 0 0 1 Select…
A: Solution:
Q: Solve for x and y the following system of simultaneous equations 2 In(x) = In(y) + In(25) e*e" = e3…
A:
Q: Identify a generating curve on the xz-plane for the surface of revolution with equation x? + y? +z?…
A:
7
Step by step
Solved in 2 steps with 1 images
- Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4A real estate analyst has developed a multiple regression line, y = 60 + 0.068 x1 – 2.5 x2, to predict y = the market price of a home (in $1,000s), using two independent variables, x1 = the total number of square feet of living space, and x2 = the age of the house in years. With this regression model, the predicted price of a 10-year old home with 2,500 square feet of living area is __________. $205.00 $200,000.00 $205,000.00 $255,000.00A supermarket has a chain of 12 stores in Kuwait. Sales figures and profits for the stores are given in the following table. Obtain a regression equation for the data, and predict profit for a store assuming sales of $20 million. Show all calculations in detail. Sales, x (in millions of dollars) Profits, y (in millions of dollars) 7 0.12 2 0.1 6 0.13 12 0.15 14 0.25 16 0.2 10 0.24 12 0.2 14 0.27 20 0.15 7 0.34 8 0.17
- In a fisheries researcher's experiment, the correlation between the number of eggs in the nest and the number of viable (surviving) eggs for a sample of nests is r = 0.67. The equation of the regression line for number of viable eggs y versus number of eggs in the nest x is y = 0.72x + 17.07. For a nest with 140 eggs, what is the predicted number of viable eggs?Healthy Hamburgers has a chain of 12 stores in northern Illinois. Sales figures and profitsfor the stores are given in the following table. Obtain a regression equation for the data, andpredict profit for a store assuming sales of $10 million.Unit Sales, x(in $ millions)Profits, y(in $ millions)$7 $0.15 2 0.106 0.134 0.1514 0.2515 0.2716 0.2412 0.2014 0.2720 0.4415 0.347 0.17A real estate analyst has developed a multiple regression line, y = 60 + 0.068 x1 – 2.5 x2, to predict y = the market price of a home (in $1,000s), using independent variables, x1 = the total number of square feet of living space, and x2 = the age of the house in years. The regression coefficient of x2 suggests this: __________. If the square feet area of living space is kept constant, a 1 year increase in the age of the homes will result in a predicted drop of $2500 in the price of the homes If the square feet area of living space is kept constant, a 1 year increase in the age of the homes will result in a predicted increase of $2500 in the price of the homes Whatever be the square feet area of the living space, a 1 year increase in the age of the homes will result in a predicted increase of $2500 in the price of the homes Whatever be the square feet area of the living space, a 1 year increase in the age of the homes will result in a predicted drop of $2500 in the price of the homes
- The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.9 8.1 6.8 3.9 2.6 2.7 2.1 0.6 yy 14.4 10.7 10.1 7.6 6.2 6.5 5.7 4.4 xx = thousands of automatic weaponsyy = murders per 100,000 residentsDetermine the regression equation in y = a + bx form and write it below. (Round to 2 decimal places) A) How many murders per 100,000 residents can be expected in a state with 6.2 thousand automatic weapons? Answer = Round to 4 decimal places. B) How many murders per 100,000 residents can be expected in a state with 8.7 thousand automatic weapons? Answer = Round to 4 decimal places.Assume that there is a positive linear correlation between the variable R (return rate in percent of financial investment) and the variable t (age in years of the investment) given by the regression equation R = 2.5t + 5.3. 1- Without further information, can we assume there is a cause-and-effect relationship between the return rate and the age of the investment?The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.4 8 7.2 3.3 2.3 2.6 2.4 0.4 yy 13.4 10.9 10.3 6.8 6 6.2 6.2 4.3 xx = thousands of automatic weaponsyy = murders per 100,000 residentsDetermine the regression equation in y = ax + b form and write it below. (Round to 2 decimal places) A) How many murders per 100,000 residents can be expected in a state with 1.5 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 5.4 thousand automatic weapons? Answer = Round to 3 decimal places.
- Assume that there is a positive linear correlation between the variable R (return rate in percent of financial investment) and the variable t (age in years of the investment) given by the regression equation R = 2.5t + 5.3. 1- If the investment continues to grow at a constant rate, what is the expected return rate when the investment is 7 years old?Assume that there is a positive linear correlation between the variable R (return rate in percent of a financial investment) and the variable t (age in years of the investment) given by the regression equation R = 2.3t + 4.8. Without further information, can we assume there is a cause-and-effect relationship between the return rate and the age of the investment? If the investment continues to grow at a constant rate, what is the expected return rate when the investment is 7 years old? If the investment continues to grow at a constant rate, how old is the investment when the return rate is 30%?the table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.6 8.6 7 3.5 2.9 2.2 2.3 0.6 yy 14.2 11.4 9.7 7.2 6.6 5.9 5.7 4.3 x = thousands of automatic weaponsy = murders per 100,000 residentsDetermine the regression equation in y = ax + b form and write it below. (Round to 3 decimal places) A) How many murders per 100,000 residents can be expected in a state with 6.2 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 3.8 thousand automatic weapons? Answer = Round to 4 decimal places.